(Answered) The scenario described in this problem will apply to the

Statistics

The scenario described in this problem will apply to the next few questions (16 - 19).

A researcher wants to study the average miles run per day for marathon runners in their training. The researcher has been told that the average miles run per day is 25. The researcher believes the average number is different. A random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10 produced a mean of 22.8 miles run daily.

The null and alternative hypotheses to be tested are:

A) H0: μ ≠ 25 vs. H1: μ = 25

B) H0: μ = 25 vs. H1: μ ≠ 25

C) H0: μ = 25 vs. H1: μ < 25

D) H0: μ = 25 vs. H1: μ > 25

Compute the value of the test statistic (2 decimal places).

What is the p-value for this test statistic (from Question 17)? (Answer to 4 decimal places.)

What can we conclude at the 5% significance level regarding the null hypothesis?

Fail to reject H0. Not enough evidence to say the average runner mileage is different from 25.

Accept H0. The average runner mileage is actually 25.

None of these answers is correct.

Reject H0. The average runner mileage is different from 25.

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